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Finding the Fourth Proportional to 149,640.70, 223,813.05 and 133,959.10

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Solution

The fourth proportional to 149,640.70, 223,813.05 and 133,959.10 is: 200,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,640.70 : 223,813.05 = 133,959.10 : x
  2. Step 2: Convert to fraction form
    149,640.70/223,813.05 = 133,959.10/x
  3. Step 3: Cross multiply
    149,640.70x = 223,813.05 × 133,959.10
  4. Step 4: Simplify right side
    149,640.70x = 29,981,794,746.26
  5. Step 5: Solve for x
    x = 29,981,794,746.26/149,640.70
  6. Step 6: Final answer
    x = 200,358.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.